Pre-Algebra
Unit 1: Solving Equations
Distributive Property
Simplify using the distributive property.
1. 2(3 + 5) =
Name:
Worksheet 1.3
4. -5(b – 1) =
2. -6(7 + 3) =
5. x(a + b) =
3. 4(2a – 5) =
6. -3(3x + 4) =
Use the distributive property in reverse to rewrite each expression.
For example: 7y – 14 = 7(y – 2)
7. 2(3) + 2(5) =
10. -5b + 5 =
8.
-6(7) + (-6)(3) =
11. ax + bx =
9.
8a – 20 =
12. -9x – 12 =
Use the distributive property to make these
multiplication problems easier to do in your head.
For example: 7∙13 = 7∙(10 + 3) = 7∙10 + 7∙3 = 70 + 21 = 91
Show the steps just like I did in the example.
13. 3∙15 =
Check yourself: #1-6 match #7-12.
14. -4∙21 =
Indicate which property (associative, commutative, identity, distributive) has been
used in each step to simplify.
15.
Expression
78 + 2(8 + 1) + 4
78 + 16 + 2 + 4
78 + 2 + 16 + 4
80 + 16 + 4
80 + (16 + 4)
80 + 20
100
Property
Given example
Addition fact
Addition fact
Addition fact
16.
Expression
6 + 3(4 + -3) + -3
6 + 12 + -9 + -3
6 + (12 + -9) + -3
6 + 3 + -3
6 + (3 + -3)
6+0
6
Property
Given example
Addition fact
Addition fact
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